Prime probability

Five distinct numbers are randomly chosen from the first ten prime numbers:

$2, 3, 5, 7, 11, 13, 17, 19, 23, 29.$

What is the probability that the median of the five selected number is 17?

If the probability can be express as $$\dfrac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers, find $$a+b$$.

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